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Finding the Fourth Proportional to 14,641.64, 20,205.27 and 7,927.11

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Solution

The fourth proportional to 14,641.64, 20,205.27 and 7,927.11 is: 10,939.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,641.64 : 20,205.27 = 7,927.11 : x
  2. Step 2: Convert to fraction form
    14,641.64/20,205.27 = 7,927.11/x
  3. Step 3: Cross multiply
    14,641.64x = 20,205.27 × 7,927.11
  4. Step 4: Simplify right side
    14,641.64x = 160,169,397.87
  5. Step 5: Solve for x
    x = 160,169,397.87/14,641.64
  6. Step 6: Final answer
    x = 10,939.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.